We present and solve a Linear Quadratic Regulator (LQR) for the boundary control of beam equation. use simple technique completing square to get an explicit solution. By decoupling spatial frequencies we are able reduce infinite dimensional LQR family two LQRs each which can be solved explicitly.

A major difficulty in the use of metaheuristics (i.e. evolutionary and particle swarm algorithms) to deal with multi-objective optimization problems is the choice of a convenient point at which to stop computation. Indeed, it is difficult to find the best compromise between the stopping criterion and the algorithm performance. This paper addresses this issue using the Non-dominated Sorting Gene...

The growing dominance in terms of industrial applications has helped polymer-based composite materials conquering new markets relentlessly. But the presence fibrous residuals and abrasive particles as reinforcement polymer matrix composites (PMCs) affects output quality characteristics (OQCs) microdrilling operations. OQC aims at reducing overcuts momentous material removal rate (MRR). In such ...

In this paper, an innovative method for designing the top load of a very low frequency (VLF) thirteen-tower umbrella antenna based on multiobjective particle swarm optimization (MOPSO) is proposed. The design antenna’s mainly involves sag and position distribution cables. On basis analyzing influence cables’ radiation efficiency, MOPSO Pareto optimality used to optimize location catenaries. res...

In the quest to achieve home comfort with highest possible efficiency, there is an increasing interest in combined cooling, heating and power (CCHP) systems. These can be fuelled by natural gas potentially hydrogen enriched ultimately hydrogen. The optimised designs largely depend on energy dispatch algorithms that take into account aspects of economic environmental impacts as well system effic...

The Job Shop Scheduling Problem (JSSP) has enormous industrial applicability. This problem refers to a set of jobs that should be processed in specific order using machines. For the single-objective optimization JSSP problem, Simulated Annealing is among best algorithms. However, Multi-Objective (MOJSSP), these algorithms have barely been analyzed, and Threshold Accepting Algorithm not publishe...

This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of versions of converse control-Lyapunov function theorems are proved and their connections to the switched LQR problem are derived. It is shown that the system is exponentially stabilizable if and only if there exists a finite integer N such...

An Integral Sliding Mode approach to hierarchical control of interconnected systems with uncertainties arising from unknown interconnection states and unknown parametric variation is proposed. The work is based on a recent study using constrained LQR showing that a two-level hierarchical control system with on-line learning coordination provides a suitable architecture for control of uncertain ...

This work attempts to achieve motion control along with vibration suppression of flexible systems by developing a sensorless closed loop LQR controller. Vibration suppression is used as a performance index that has to be minimized so that motion control is achieved with zero residual vibration. An estimation algorithm is combined with the regular LQR to develop sensorless motion and vibration c...